Limit cycles bifurcating from planar polynomial quasi-homogeneous centers

[摘要] In this paper we find an upper bound for the maximum number of limit cycles bifurcating from the periodic orbits of any planar polynomial quasi-homogeneous center, which can be obtained using first order averaging method. This result improves the upper bounds given in [7]. (C) 2015 Elsevier Inc. All rights reserved.

[发布日期] 2015-12-15

[关键词] Quasi-homogeneous polynomial differential equations;Bifurcation of limit cycles;Quasi-homogeneous centers